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Simplifying 5(x + -3) + 2 = 3(x + 2) Reorder the terms: 5(-3 + x) + 2 = 3(x + 2) (-3 * 5 + x * 5) + 2 = 3(x + 2) (-15 + 5x) + 2 = 3(x + 2) Reorder the terms: -15 + 2 + 5x = 3(x + 2) Combine like terms: -15 + 2 = -13 -13 + 5x = 3(x + 2) Reorder the terms: -13 + 5x = 3(2 + x) -13 + 5x = (2 * 3 + x * 3) -13 + 5x = (6 + 3x) Solving -13 + 5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x -13 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 2x = 6 + 0 -13 + 2x = 6 Add '13' to each side of the equation. -13 + 13 + 2x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 6 + 13 2x = 6 + 13 Combine like terms: 6 + 13 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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